3(1 – 2x) > 3 – 6x For x

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

Answer:

the statement is false for any value of x

Step-by-step explanation:

Marianna [84]3 years ago

6 0

Answer:

$\boxed{ x < 0}$

Step-by-step explanation:

$if \to : \\ 3(1 – 2x) > 3 – 6x \\ then \to : \\ 3(1 – 2x) > 3 – 6x = \\ 3 - 6x > 3 - 6x = \\ - 3 + 3 > - 6x + 6x \\ 0 > x( -6 + 6) \\ 0 > x(0) \\ x < \frac{0}{0} \\ \boxed{ x < 0}$

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A drone is monitoring the atmospheric conditions above a farm field.

Viefleur [7K]

Answer:

$y=5 \ \ \ x x_o + 1.9s$

Step-by-step explanation:

This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:

For the first part you have:

y = 5 for x < xo

For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:

$y=vx\\\\v=\frac{y-y_o}{x}=\frac{5.9m-5.0m}{1.9s}=0.47m/s$